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ElenaW [278]
3 years ago
9

-5y + 12 + 8y − 6 − 2 = ______ help plz

Mathematics
1 answer:
Sladkaya [172]3 years ago
3 0

Answer:

(combine like terms)

-5y + 12 + 8y − 6 − 2  

3y+12-8

3y+4

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Owen’s rectangular garden has a length of (x+3) feet and a width of (x−4) feet. If the area of the garden is 18 square feet, wha
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Answer:

  length: 9 ft

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Step-by-step explanation:

This can be worked using a quadratic equation, or it can be worked by considering factors of the area value.

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<h3>difference in dimensions</h3>

The difference in length between the long side (x+3) and the short side (x-4) is ...

  (x +3) -(x -4) = 3+4 = 7 . . . . feet

<h3>area factors</h3>

The area formula is ...

  A = LW

The given area is 18 square feet, so we want to find numbers that multiply to give 18 and that differ by 7 in their values. Here are the integer factors of 18:

  18 = 1×18 = 2×9 = 3×6

Of these factor pairs, the values 2 and 9 differ by 7.

The garden is 9 feet long and 2 feet wide.

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<em>Additional comment</em>

We can check to see if these numbers are consistent with the given expressions:

  x+3 = 9  ⇒  x = 6

  x -4 = 6 -4 = 2 . . . . the other dimension we found

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If you solve this using a quadratic equation, you will find that dimensions -2 ft and -9 ft also pop out. That is x +3 = -2, or x = -5 is also a solution to the quadratic. Of course, that is an extraneous solution, which we avoid by considering only positive factors of 18.

The quadratic equation we're referring to is A=18 ⇒ (x+3)(x-4) = 18.

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Answer:

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The length is 12 cm more than its width . Find the area of the rectangle if it's perimeter is 100 cm
DaniilM [7]
Let's say the width is (x) and the width is (x+12). The formula for a perimeter of a rectangle equals 2w + 2l, which would then for this problem be 100=2(x) + 2(x+12) which would distribute as 2x + 2x + 12 which equals 4x+12. When you subtract twelve from 100 you get 88=4x. Divide 88 by 4 and you get x=22. This then would mean the width is 22 and the length is 34. The formula for an area of a rectangle is w*l. Plug in the numbers that you figure out from the area formula and you get 22x34=748
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